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Finding the Fourth Proportional to 978.25, 1,467.46 and 247.83

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Solution

The fourth proportional to 978.25, 1,467.46 and 247.83 is: 371.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.25 : 1,467.46 = 247.83 : x
  2. Step 2: Convert to fraction form
    978.25/1,467.46 = 247.83/x
  3. Step 3: Cross multiply
    978.25x = 1,467.46 × 247.83
  4. Step 4: Simplify right side
    978.25x = 363,673.30
  5. Step 5: Solve for x
    x = 363,673.30/978.25
  6. Step 6: Final answer
    x = 371.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.